Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to

where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have

so

therefore
The average rate of change is -2
The answer is the letter T because the two ends will never meet.
Answer:
(a) Average number expected = 13.07 people
(b) Average number of persons = 14 persons
(c) Average amount of time = 0.9333 hours
(d) Time taken = 1 hour
Step-by-step explanation:
We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,
Arrival rate = λ = 14
Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,
Service rate = μ = 15
(a) Average number in line = (λ^2) / μ(μ - λ)
= (14^2) / 15(15 - 14)
= 13.07
(b) Average number in system = λ / (μ - λ)
= 14 / (15 - 14)
= 14
(c) Average waiting time = Average number in line / λ
= 13.07 / 14
= 0.9333
(d) Average total time = Average number in system / λ
= 14 / 14
= 1
Multiply to remove the variable from the denominator. h= 1/4
Answer:
45
Step-by-step explanation:
first caseworker = 15 active cases
second caseworker = 2 x number of active cases
= 2 x 15
= 30 active cases
∴ number of active cases the office have = 15 + 30
= 45